Write the equation for an exponential function, in the forms y = a x b^x, whose graph passes through the coordinate points (1, 7.5) and (3, 16.875).

The the required exponential function is .

Step-by-step explanation:

The equation for an exponential function, in the forms

It is given that passes through the coordinate points (1, 7.5) and (3, 16.875). It means the given function must be satisfied by these points.

                       ....(1)

             ..... (2)

Divide equation (2) by equation (1).

The value of b is 1.5. Substitute b=1.5 in equation (1).

Divide both sides by 1.5.

Therefore the required exponential function is .